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Simplify sin(tan^(-1)x)

User Tolbard
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sin (tan^(-1)X)
Sin (1/tan X)
Sin (1/1 / tan X/1)
Tan X = sin X/cos X

Sin (1/1 / sin X/cos X)
Sin (1/1 • cos X/Sin X)
Sin (cos X/sin X )
Cos X.

I believe the correct answer is cos X.
User Tim James
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9.1k points

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